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Subjects
Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

If A = {x : x is a natural number less than 100}, what type of set is A?

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Answer and explanation

Correct answer: Finite set

Assuming natural numbers begin with 1, the members of A are 1, 2, 3, ..., 99. This list contains exactly 99 elements and has a final member, so it cannot continue indefinitely. A set with a fixed, countable number of elements is called a finite set. Therefore, A is finite.

Tags

setsfinite-setnatural-numbersbounded-setThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Finite set

Why is this the correct answer?

Assuming natural numbers begin with 1, the members of A are 1, 2, 3, ..., 99. This list contains exactly 99 elements and has a final member, so it cannot continue indefinitely. A set with a fixed, countable number of elements is called a finite set. Therefore, A is finite.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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